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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 77, Issue 2, Pages 279–292
DOI: https://doi.org/10.1070/SM1994v077n02ABEH003440 (Mi sm1086) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Supplements to Michael's theorem on continuous selections, and their applications

Yu. E. Linke
English version PDF (990 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1994v077n02ABEH003440
Abstract: Michael's well-known theorem on continuous selections is supplemented by ten equivalent conditions. The basic applications of the result obtained relate to the investigation of subdifferentiability of sublinear operators with values in spaces of continuous functions. Also, criteria are found for metrizability of convex dyadic compacta and symmetric convex Eberlein compacta, and for separability for certain classes of Banach spaces.
Received: 19.04.1991
Russian version:
Matematicheskii Sbornik, 1992, Volume 183, Number 11, Pages 19–34
Bibliographic databases:
UDC: 515.12
MSC: Primary 54C65, 58C20; Secondary 47H19, 47H04, 54C60, 46B20, 46A55
Language: English
Original paper language: Russian
Citation: Yu. E. Linke, “Supplements to Michael's theorem on continuous selections, and their applications”, Mat. Sb., 183:11 (1992), 19–34; Russian Acad. Sci. Sb. Math., 77:2 (1994), 279–292
Citation in format AMSBIB
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\by Yu.~E.~Linke
\paper Supplements to Michael's theorem on continuous selections, and their applications
\jour Mat. Sb.
\yr 1992
\vol 183
\issue 11
\pages 19--34
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994SbMat..77..279L}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 77
\issue 2
\pages 279--292
\crossref{https://doi.org/10.1070/SM1994v077n02ABEH003440}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994NF83500002}
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  • https://doi.org/10.1070/SM1994v077n02ABEH003440
  • https://www.mathnet.ru/eng/sm/v183/i11/p19
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:464
    Russian version PDF:155
    English version PDF:37
    References:87
    First page:1
     
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